Limiting amplifiers

ABSTRACT

A limiting amplifier with an input stage with dc offset cancellation, identical gain stages, an output buffer and a feedback filter. The input stage receives a differential input signal and outputs a first intermediate differential signal. The gain stages are cascaded to amplify the first intermediate differential signal and generate a second intermediate differential signal, amplified by the output buffer to produce an output signal. The feedback filter provides a dc offset voltage of the output signal to the input stage for the dc offset cancellation. The input stage comprises a resistor network coupled between a pair of input nodes and a power line and comprising a common resistor, a pair of load resistors and a shunt resistor. The load resistors share a common terminal connected to the common resistor that is connected to the power line. The shunt resistor has two terminals respectively connected to the load resistors.

CROSS-REFERENCE TO RELATED APPLICATION

This application is a divisional of U.S. patent application Ser. No. 11/688,265, filed Mar. 20, 2007, which claims priority under 35 U.S.C. §119(e) to U.S. Provisional Patent Application Ser. No. 60/807,944, filed Jul. 12, 2006, entitled “Limiting Amplifiers”, the contents of which are hereby incorporated by reference in their entirety.

BACKGROUND OF THE INVENTION

1. Field of the Invention

The invention generally relates to limiting amplifiers and in particular to limiting amplifiers for optical communication.

2. Description of the Related Art

High speed limiting amplifiers (LA) play a critical role in various wireline communications, amplifying a weak signal to deliver a large output swing for succeeding data recovery circuit. FIG. 1 shows a conventional wireline communication system, where laser 12, driven by driver/modulator 14 outputs an optical signal to a receiver through optical fiber 15. Photo diode 16 detects the optical signal to generate a weak current signal, which is then transformed by transimpedance amplifier (TIA) 18 to a voltage signal, usually with a swing of only several or tens of mV. The weakness of the voltage signal from TIA 18 necessitates limiting amplifier 20 to amplify the voltage signal such that a signal with a full swing can be provided to clock and data recovery circuit (CDR) 22 to achieve high speed digital data processes. Limiting amplifier 20 may precede or follow an optional equalizer (not shown).

Conventional Cherry-Hopper amplifiers have been employed in limiting amplifiers to achieve a data rate of 40 Gb/s in heterojunction bipolar technology, but the power dissipation is prohibitive. Possible solutions in CMOS technology are to use a wideband amplifier with inductive peaking and a distributed amplifier (DA) or a cascaded distributed amplifier (CDA). The bandwidth of a DA is good, but the gain is low. It is desired to have a limiting amplifier with low power consumption, a high gain and greater bandwidth.

BRIEF SUMMARY OF THE INVENTION

An embodiment of the invention provides a limiting amplifier with an input stage, gain stages, an output buffer and a feedback filter. The input stage is capable of dc offset cancellation, receiving a differential input signal and outputting a first intermediate differential signal. All the gain stages are identical, cascaded to amplify the first intermediate differential signal and generate a second intermediate differential signal. The output buffer amplifies the second intermediate differential signal to produce an output signal. The feedback filter provides a dc offset voltage of the output signal to the input stage for the dc offset cancellation.

The input stage in an embodiment comprises a resistor network coupled between a pair of input nodes and a power line. The resistor network comprises a common resistor, a pair of load resistors and a shunt resistor. The common resistor is connected to the power line. The load resistors share a common terminal connected to the common resistor. The shunt resistor has two terminals respectively connected to the load resistors.

In an embodiment, each gain stage comprises a pair of LC-ladder low pass filters. Each LC-ladder low pass filter comprises a first LC network coupled to receive an amplified signal and a second LC network connected in series to the first LC network. A node connecting the first and second networks of a preceding LC-ladder low pass filter outputs signals to a subsequent LC-ladder low pass filter.

The output buffer in an embodiment comprises a differential amplifier, a ft-doubler, and a negative feedback architecture. The differential amplifier acts as an input of the output buffer. The ft-doubler is cascaded with the differential amplifier. The negative feedback architecture is connected between an output and an input of the ft-doubler.

A detailed description is given in the following embodiments with reference to the accompanying drawings.

BRIEF DESCRIPTION OF DRAWINGS

The invention can be more fully understood by reading the subsequent detailed description and examples with references made to the accompanying drawings, wherein:

FIG. 1 shows a conventional wireline communication system;

FIG. 2 shows a limiting amplifier according to an embodiment of the invention;

FIG. 3 exemplifies both the input stage and the feedback filter in FIG. 2;

FIG. 4 shows a 4th-order LC-ladder Butterworth low pass filter;

FIG. 5 shows a plot of a transfer function for a 4th-order LC-ladder Butterworth low pass filter;

FIG. 6 shows the locations of the poles of a 4th-order LC-ladder Butterworth low pass filter;

FIG. 7 illustrates a pair of cascaded-distributed amplifiers;

FIG. 8 shows a small signal model of one cascaded amplifier in FIG. 7;

FIG. 9 shows an output impedance frequency response of the small signal model in FIG. 8;

FIG. 10 details the circuit schematic of a single gain stage;

FIG. 11 exemplifies the output buffer in FIG. 2;

FIG. 12 shows a simulated output result of the output buffer in FIG. 11; and

FIG. 13 plots the measured frequency response of a fabricated limiting amplifier according to an embodiment of the invention.

DETAILED DESCRIPTION OF THE INVENTION

The following description is of the best-contemplated mode of carrying out the invention. This description is made for the purpose of illustrating the general principles of the invention and should not be taken in a limiting sense. The scope of the invention is best determined by reference to the appended claims.

Characteristics of a limiting amplifier include: input sensitivity, gain, bandwidth, noise margin, dc offset voltage, and output voltage swing. A high speed limiting amplifier using cascaded distributed amplifier technology is provided. FIG. 2 shows a limiting amplifier 40 according to an embodiment of the invention, including an input stage 42 with dc offset cancellation, gain stages 44, output buffer 46 and feedback filter 48. Input stage 42 receives differential signal V_(in) and outputs intermediate differential signal V_(im1). Gain stages 44 are all identical, cascaded to amplify intermediate differential signal V_(im1) and generate intermediate differential signal V_(im2). Output buffer 46 amplifies intermediate differential signal V_(im2) to produce output signal V_(out). Feedback filter 48 provides a dc offset voltage of the output signal V_(out) to input stage 42 for dc offset cancellation. The cascade number of gain stages 44 satisfies sufficient gain, bandwidth, and low input-referred noise.

According to an embodiment of the invention, five gain stages 44 using cascaded-distributed amplifiers are employed to optimize amplification. A low pass path with resistors R_(F) and capacitors C_(F) is used in feedback filter 48 to detect dc offset voltage at the output port while corresponding offset voltage removal is employed in input stage 42 to stabilize limiting amplifier 40. Each gain stage 44 utilizes a cascaded-distributed amplifier, configured with a Butterworth filter structure to extend bandwidth. Output buffer 46 uses an improved Cherry-Hooper amplifier, providing high speed data transmission.

Limiting amplifier 40, the embodiment in FIG. 2, is detailed as follows

Input Stage And Feedback Filter

FIG. 3 exemplifies both input stage 42 and feedback filter 48. Using the low pass filters, each consisting of a resistor R_(F) and a capacitor C_(F), the differential pair M₁₋₂ senses the dc offset voltage of the limiting amplifier output signal V_(out). The input matching network comprises on-chip transformers L_(i) and resistor network R₁-R₂-R₃ 52.

Each transformer L_(i), connected between a corresponding input node 50 and a corresponding resistor R₁, is a center-tapped transformer providing a center tap 54 for outputting intermediate differential signal V_(im1). Each transformer L_(i) has a symmetric geometry as a T-coil network to extend bandwidth.

Resistor network 52, coupled between power line V_(DD) and input nodes 50, must satisfy the tradeoff between the 50-Ω broadband matching and input dc bias. Resistor R₃, as a common resistor, is used to adjust DC bias. Resistors R₁ are load resistors sharing a common terminal connected to resistor R₃ while resistor R₂, as a shunt resistor, has two terminals respectively connected to resistors R₁. R₁ and R₂ are placed in parallel to robustly match 50-Ω source termination and relax the resistor variations. Adding resistor R₃ in the input matching network lowers required resistance values of resistors R₁ and R₂ to reduce parasitic capacitance and enhance bandwidth.

The design of dc offset cancellation on input stage 42 focuses on the feedback gain of the feedback network. As low pass filters consisting of resistors R_(F) and capacitors C_(F) are added, the overall limiting amplifier 40 resultantly exhibits a high pass frequency response. With respect to a high-gain amplifier, the feedback gain for a low frequency band must be less than 1, to avoid oscillation resulting from the accumulation and amplification of noise through the feedback network.

Gain Stages

To provide both a broadband bandwidth and a high gain and overcome the limitations of transistor cutoff frequency, several broadband technologies are combined, including Butterworth network load, cascaded-distributed amplifiers, and active feedback. The implementation and features of each technology and resulting gain stages 44 are as follows.

Conventional broadband amplifiers employ inductive peaking to extend 80% more bandwidth to increase data transmission. To further extend the bandwidth, Butterworth filters are applied to a broadband amplifier. FIG. 4 shows a 4th-order LC-ladder Butterworth low pass filter 54, using two inductors L₁ and L₂, and two capacitors C₃ and C₄ and providing a 4^(th)-order transfer function of:

$\begin{matrix} {{{\frac{V_{2}}{V_{S}}\left( {s = {j\; \omega}} \right)}} = \frac{K}{\sqrt{1 + {ɛ^{2}\left( \frac{\omega}{\omega_{C}} \right)}^{2\; N}}}} & (1) \end{matrix}$

Poles of the transfer function are located at

$\begin{matrix} \begin{matrix} {s = {ɛ^{- \frac{1}{N}} \cdot {\exp \left( {j\frac{{2\; M} + N - 1}{2\; N}\pi} \right)}}} & {{{{for}\mspace{14mu} M} = 1},2,\ldots \mspace{14mu},N,} \end{matrix} & (2) \end{matrix}$

wherein K=R_(L)/(R_(L)+R_(S)), N is 4, the order of the filter, and ω_(C) and ε are the cutoff frequency and the decay factor, respectively. The plot of the transfer function is shown in FIG. 5, clearly having maximal flatness and linear phase response in the passband below ω_(C). FIG. 6 shows the locations of the poles of a 4th-order LC-ladder Butterworth low pass filter. The four poles lie on a circuit of unit radius, ω_(C), in the left hand plane with equal distance apart. ω_(C) is the oscillating frequency of L₁-C₃-C₄ network. To generate Butterworth frequency response, normalized values of the components, i.e. inductor, capacitor, and resistor, are shown in the following table 1.

TABLE 1 N = 4 Butterworth Filter Normalized values Parameter for ω_(C) = 1 L₁ 1.848 L₂ 0.7654 C₃ 0.7654 C₄ 1.848 R_(L) 1 R_(S) 1

FIG. 7 illustrates a pair of cascaded-distributed amplifiers, each using a LC-ladder network as a load, and designates a serial output port at nodes V_(m). Capacitor C₃ is the drain-to-bulk capacitor parasitizing on MOS M_(g1) or M_(g2) and capacitor C₄ is the gate-to-source capacitor parasitizing MOS M_(g3) or M_(g4). Inductance increment of inductor L₂ is expected to introduce more gain to compensate the capacitance loss through the signal path. FIG. 8 shows a small signal model of one cascaded amplifier in FIG. 7. LC network 60, comprising capacitor C₃ and inductor L₁, is coupled to controllable current source I_(S), which also represents an amplified signal from MOS M_(g1)/M_(g2). LC network 62, comprising capacitor C₄ and inductor L₂, is connected in series to LC network 60. Node V_(m), connecting LC networks 60 and 62, outputs signals to a subsequent cascaded-distributed amplifier comprising another LC-ladder low pass filter. An output impedance frequency response of the small signal model in FIG. 8 can be expressed in the function:

$\begin{matrix} {{\frac{V_{1}}{I_{s}}(s)} = \frac{{sL}_{2} + R_{L}}{\begin{matrix} {{s^{4}L_{1}L_{2}C_{3}C_{4}} + {s^{3}R_{L}L_{1}C_{3}C_{4}} + {s^{2}\left( {{L_{1}C_{3}} + {L_{2}C_{4}} + {C_{3}C_{4}}} \right)} +} \\ {{{sR}_{L}\left( {C_{3} + C_{4}} \right)} + 1} \end{matrix}}} & (3) \end{matrix}$

In order to approach a Butterworth response, R_(L) is set as

$\begin{matrix} {R_{L} = \sqrt{\frac{L_{1}}{\left( {C_{3} + C_{4}} \right)/2}}} & (4) \end{matrix}$

As the C_(GD) of transistor M_(g3) or M_(g4) contributes Miller multiplication effect, C₄ exceeds C₃. At the frequency of ω_(C), a gain peak will occur, as expressed below:

$\begin{matrix} {{{\frac{V_{1}}{I_{S}}\left( {s = {j\; \omega_{C}}} \right)}} = {\frac{C_{4}}{C_{3}} \times \sqrt{R_{L}^{2} + {\omega_{C}^{2}L_{2}^{2}}}}} & (5) \end{matrix}$

For example, if C₄=2*C₃ and L₁=2*L₂, then an output impedance frequency response as shown in FIG. 9 can be obtained, showing an extended 3 db bandwidth to a factor about 3.8, where ω_(C) is the oscillating frequency of L₁-C₃-C₄ network. Shunt and series peaking, in the contrary, causes at ω_(C) a gain loss of:

$\begin{matrix} {{{{\frac{V_{1}}{I_{S}}\left( {s = {j\; \omega_{C}}} \right)}} = {\frac{C_{3}}{C_{4}} \times \sqrt{R_{L}^{2} + {\omega_{C}^{2}L_{2}^{2}}}}},} & (6) \end{matrix}$

and seriously narrows the bandwidth extension to only a factor of about 2.3.

Finally, a single gain stage 44 according to an embodiment of the invention combines cascaded-distributed amplifiers, a Butterworth network, active feedback and on-chip transformers. FIG. 10 details the circuit schematic of a single gain stage 44, including two differential amplifiers together with active feedback.

Constant current source I_(S1) provides dc bias for a first differential amplifier comprising a pair of MOSs (M_(g1) and M_(g2)) and a pair of LC-ladder low pass filters (each including inductors L₁ and L₂ and resistor R_(L)). Similarly, constant current source I_(S2) provides dc bias for a second differential amplifier comprising a pair of MOSs (M_(g3) and M_(g4)) and a pair of LC-ladder low pass filters (each including inductors L₃ and L₄ and resistor R_(L)). The second differential amplifier is cascaded (subsequent) to the first one. Although no capacitors are shown in FIG. 10, MOSs (M_(g1)M_(g6) and MOSs in a subsequent gain stage) contribute parasitic capacitors, such as gate-to-source and drain-to-bulk capacitors, for required components in the LC-ladder low pass filters. For example, the drain-to-bulk capacitor of M_(g1) in the first differential amplifier and the gate-to-source capacitor of M_(g3) in the second differential amplifier are two capacitors belonging to one LC-ladder low pass filter. Furthermore, rather than transmission lines, the asymmetric 1:2 on-chip transformers 64 and 66 (i.e., L₁=2*L₂, L₃=2*L₄) are used to reduce the long-line loss and facilitate the differential routing. To accurately predict the transformer, EM simulator has been used to obtain an accurate model.

An active feedback architecture 68 comprising MOSs M_(g5) and M_(g6) and current source I_(S3) negatively feeds the output signal from nodes V_(M) of the second differential amplifier to the inputs of the second differential amplifier (the gates of MOSs M_(g3) and M_(g4)). Beneficially, the active feedback architecture 68 does not resistively load the second differential amplifier and improves the gain-bandwidth product of one gain stage 44.

Based on simulation, the proposed architecture provides a gain of 8 db and a bandwidth of 35 GHz. The gain-bandwidth product is improved by a factor of 3.8. Meanwhile, utilizing on-chip asymmetric transformers conserves about 50% of the area required by conventional independent inductors, enabling compact layout.

Output Buffer

FIG. 11 exemplifies output buffer 46 in FIG. 2, showing the combination of a Cherry-Hooper amplifier and a ft-doubler. As known in the art, a Cherry-Hooper amplifier is a differential amplifier with two stages in series and a negative feedback architecture connected between the outputs and the inputs of the rare stage. FIG. 11 shows a front stage of a differential amplifier comprising MOSS M_(B1) and M_(B2), and resistors R_(B1). The gates of M_(B1) and M_(B2) in the front stage are coupled to receive intermediate differential signal V_(im2) from one final gain stage 44. The rare stage is a ft-doubler comprising MOSS M_(B3), M_(B4), M_(B5) and M_(B6), resistors R_(B2), and symmetric on-chip transformers L₀. The inputs of the ft-doubler are the gates of M_(B3) and M_(B6), and the outputs the drains of M_(B3) and M_(B6). Negative feedback architecture has two resistors R_(B2), each connected between one input and one output of the ft-doubler. Each symmetric on-chip transformer L₀ has a center tap connected to one resistor R_(B2) while one end of the transformer L₀ is connected to resistive load R_(B2) and the other produces output signal V_(out).

Output buffer 46 in FIG. 11 offers at least the following several advantages. Using the Cherry-Hooper amplifier in the front of a ft-doubler lowers the capacitance load for the gain stage. Since the ft-doubler uses large input transistors, its large input capacitance is alleviated by the resistive feedback loop of the Cheery-Hooper amplifier and the time constant at the internal nodes is also reduced. Since the 1:1 transformer is used to absorb the parasitic capacitance, the output −3 db bandwidth is extended. The single-ended and differential output swings of 300 m V_(PP) and 600 m V_(PP) are provided.

FIG. 12 shows a simulated output result of output buffer 46 in FIG. 11, indicating an operating rate of 40 Gb/s, 0.8 ps of peak-to-peak jitter, and a differential output swing of 600 m V_(PP).

Experimental Result

A limiting amplifier according to an embodiment of the invention was fabricated in a 0.13 um CMOS technology. FIG. 13 plots the measured frequency response of one fabricated limiting amplifier, indicating a passband bandwidth of 26.2 GHz and a differential gain S_(DD21) of 38 dB. Within 45 GHz, the input matching S_(DD11) and output matching S_(DD22) are less than −7dB and −10dB, respectively, demonstrating limiting amplifier capability at speeds of 35 Gb/s.

Conclusion

An embodiment of the invention provides a 35 Gb/s CMOS limiting amplifier using cascaded-distributed amplifiers together with Butterworth network, active feedback and on-chip transformers, achieving a differential gain of 38 dB and a passband bandwidth of 26.2 GHz. Unlike conventional amplifiers, high voltage, high power consumption, and large silicon area requirement are avoided with high operating data rate enabled.

Input stage 42 alone may be combined with gain stages, an output buffer and a feedback filter other than those disclosed in this specification. Similarly, gain stages 44 or output buffer 46 can also be combined with other components in limiting amplifiers other than that disclosed.

While the invention has been described by way of examples and in terms of preferred embodiment, it is to be understood that the invention is not limited thereto. To the contrary, it is intended to cover various modifications and similar arrangements (as would be apparent to those skilled in the art). Therefore, the scope of the appended claims should be accorded the broadest interpretation to encompass all such modifications and similar arrangements. 

1. A limiting amplifier, comprising: an input stage with dc offset cancellation, receiving a differential input signal and outputting a first intermediate differential signal; at least one gain stage, amplifying the first intermediate differential signal to generate a second intermediate differential signal; an output buffer, amplifying the second intermediate differential signal to produce an output signal; and a feedback filter providing a dc offset voltage of the output signal to the input stage for the dc offset cancellation; wherein the gain stage comprises a pair of LC-ladder low pass filters with a first LC network coupled to receive an amplified signal and a second LC network connected in series to the first LC network
 2. The limiting amplifier of claim 1, wherein the gain stage comprises: first and second amplifiers, the first amplifier having a preceding LC-ladder low pass filter and the second amplifier having a subsequent LC-ladder low pass filter; and an active feedback circuit negatively feeding the output signal of the second amplifier to the input of the second amplifier.
 3. The limiting amplifier of claim 1, wherein a first inductor in the first LC network and a second inductor in the second LC network together form a transformer.
 4. The limiting amplifier of claim 3, wherein the transformer is an asymmetric on-chip transformer.
 5. The limiting amplifier of claim 3, wherein the ratio of the inductance of the first inductor to the inductance of the second inductor is about
 2. 6. The limiting amplifier of claim 3, wherein the ratio of the inductance of the first inductor to the inductance of the second inductor is above
 1. 7. The limiting amplifier of claim 2, wherein the gain stage comprises: a first amplifier comprising a first MOS with a parasitic drain-to-bulk capacitor as a first capacitor in the preceding LC-ladder low pass filter; and a second amplifier comprising a second MOS with a parasitic gate-to-source capacitor as a second capacitor in the preceding LC-ladder low pass filter.
 8. The limiting amplifier of claim 1, wherein the limiting amplifier is adopted in an optical commutation product.
 9. A wideband amplification system comprising a gain stage with a pair of LC-ladder low pass filters, wherein the pair of LC-ladder low pass filters includes a first LC network having a first inductor and a second LC network having a second inductor, and the second LC network is connected in series to the first LC network.
 10. The wideband amplification system of claim 9, wherein the first inductor in the first LC network and the second inductor in the second LC network together form a transformer.
 11. The wideband amplification system of claim 10, wherein the transformer is an asymmetric on-chip transformer.
 12. The wideband amplification system of claim 10, wherein the ratio of the inductance of the first inductor to the inductance of the second inductor is about
 2. 13. The wideband amplification system of claim 10, wherein the ratio of the inductance of the first inductor to the inductance of the second inductor is above
 1. 